Tingley's problems on uniform algebras

[摘要] We prove that a surjective isometry between the unit spheres of two uniform algebras is extended to a surjective real-linear isometry between the uniform algebras. It provides the first positive solution to Tingley's problem on a Banach space, without being a Hilbert space, consisting of analytic functions. (c) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-11-15

[关键词] Tingley's problem;Surjective isometries;Uniform algebras;Maximal convex sets;Analytic functions